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From: Archimedes Plutonium on 23 Jun 2010 03:09 Let me frame the derivation with this paragraph example. I like it when I reach a moment in which a paragraph describes the entire idea to a new reader. Describe the derivation and how it works. --- derivation of speed of light out of pure math --- Earlier I wrote how the speed of light in physics should be derived out of pure math as that of Stripe Geometry on the surface of Earth where I take all the meridians as stripes and where the circumference of Earth is 40,000 km so all the stripes are 1 km wide and all of meridians distance would be 40,000 x 40,000 and the stripe that represents the Log-spiral would be 5,000 and this is the time in seconds instead of distance, thus yielding a speed of light 40,000 x 40,000 / 5,000 is equal to 3 x 10^5 km/sec. --- end of derivation --- Now the above derivation is unitless, in other words it matters not whether we do in in km/second or meters/second or in miles/second because the band width of the stripe compensates for the different units. Now there are still some unresolved issues I have with the technique. For instance, I am not resolved on why it is 1/8 of the circumference as a log- spiral representation, that is involved. This maybe because in a Plutonium Atom Totality, the geometry of plutonium as seen on page 73 of "The Elements Beyond Uranium" by Seaborg and Loveland, 1990, shows 8 lobes of the plutonium atom geometry. Or it maybe the case as a poster responded to what is the maximum size triangle that can be converted from Elliptic into Hyperbolic geometry and vice versa which involves 1/8 circumference. Or maybe these two are related. But regardless of whether I have some ironing out to do, is no detraction for the technique. The technique is solid. The technique is here to stay and to elaborate upon. And it may shock most everyone in physics that the speed of light can be churned out from pure mathematics. Now that leaves open for a complaint. A complaint I recently received saying that Mr. Plutonium, if you had not known that the speed of light is roughly 3 x 10^5 km/s then you would not know to take 1/8 of the circumference as representative log-spiral. Now that is of course a very valid complaint. So instead of answering that complaint directly, let me veer off as to the meaning of the technique. And once I finish with the "meaning of the technique". I think I can answer the complaint better. I previously wrote that the speed of light has alot in common with the absolute zero kelvin temperature of physics. Both are limits, one an upper limit and the other a lower limit. Both are never reached in physics and we see that especially with 0 Kelvin. But with the speed of light, it is never actually reached either because there is no perfect vacuum in physics, and there is no Euclidean geometry in physics for light to travel at the speed of light, but always at a slower speed, just as light is slowed down travelling through water. So let me offer my opinion as to what this new technique is all about for the speed of light. There are three geometries in the Universe, -- Euclidean, Elliptic and Hyperbolic. To me, Euclidean when broken in its symmetry ends up being Elliptic and Hyperbolic where one is the picture and the other is the frame for the picture. In other words, Euclidean geometry exists because it is a compilation of Elliptic with Hyperbolic. Elliptic is like the particle and Hyperbolic the wave. So the two geometries are duals of one another, like particle and wave duality. So Quantum Mechanics is Elliptic and Hyperbolic geometry. Now when I say the 0 Kelvin is a lower limit and nothing can ever reach 0 Kelvin, then it is not physical is it? It is not obtainable so it does not exist, does it, but rather, it is a condition or a lower limit. Likewise for the speed of light as an upper limit. It can never be reality because there is no perfect vacuum and Space is not Euclidean but rather Elliptic with Hyperbolic. In a sense, then, Euclidean geometry is the limit of putting Elliptic with Hyperbolic geometry together as one geometry. What I mean here is that if you have a concave inward triangle (hyperbolic) and added a concave outward triangle (elliptic) they cancel and produce a straight lined Euclidean triangle. So the speed of light, is a limit of Elliptic speeds. That you can go as fast as you want until you reach almost the speed of light and still be Elliptic geometry, but if you reach the speed of light, you entered into Euclidean geometry. Any and every sphere has lines of longitude and a log spiral to the poles that is a 1/8 circumference representative. Any and every sphere has band-meridians or stripe-meridians. We ask the question, what is the Minimum speed at which you can cover that sphere of its band-meridians and log spiral? And the answer is that the Least speed or lower limit speed to cover or create the sphere surface itself, is the 40,000 x 40,000 / 5,000. So the speed of light, is seen as a creation process of making the sphere itself in the least amount of speed. So now, to answer the valid question raised that "Mr. Plutonium, you had to know the speed of light before you used your purely math derivation?" And my reply back is that "no". If I never heard of 3 x 10^5 km/s. And armed only with my above technique. I would have looked at Earth as a sphere and said, alright, I want a speed of light in km/s. That meant I would have had 40,000 km band circumference and I would have had 40,000 of these bands. So that would have given me a total distanced of 1,600,000,000 km. Then I would have had to have known beforehand that 1/8 of the circumference was the Minimum for the log spiral as a time, not distance measure, admittely, knowing it was 1/8 the circumference that is the Minimum needed speed. And the log spiral would have given me 1/8 of 40,000 but not in km but in seconds, so I would have had 5,000 seconds from the log spiral. So the answer to the valid complaint, is that I needed to know that 1/8 circumference for the log spiral was the Minimum, and that I never needed to know that the speed of light was 3 x 10^5 km/s beforehand. Faraday and Maxwell described light as the disturbance of the EM field. What I am doing with the technique is describing light as a creator of a particle or sphere, or a creator of a sphere geometry. Light travels through every band meridian in the time of 1/8 circumference as log spiral, is a light wave that is creating that sphere itself. Another way of saying it, is that a sphere exists in mathematics, because the Minimum speed to traverse all the meridian bands divided by 1/8 circumference as log spiral is the speed of light. If that were not true, then there would be no spheres in Euclidean geometry. Again, Faraday and Maxwell saw light as a disturbance of the EM field. I am beginning to see light as a creator of a sphere. So that when we hold a magnet under a sheet of paper with iron filings, they quickly form into a circular configuration. That the EM waves are forming a 2D sphere or circle and in 3D would be a sphere. P.S. as for proof that the speed of light is actually the digits of pi to an exponent is straightforward from the fact that most of the lengths in physics of the smallest lengths are digits of the golden ratio 1.618.. Because the smallest lengths in physics have a golden ratio digits such as Planck length, proton diameter, elementary charge, means that the speed of light is the digits of pi to an exponent. Archimedes Plutonium http://www.iw.net/~a_plutonium/ whole entire Universe is just one big atom where dots of the electron-dot-cloud are galaxies |